Approximate analytical solutions of the Schr\'{o}dinger equation with Hulth\'{e}n potential in the global monopole spacetime

Autor: Alves, Saulo S., Cunha, Márcio M., Hassanabadi, Hassan, Silva, Edilberto O.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: In this paper, we study the nonrelativistic quantum mechanics of an electron in a spacetime containing a topological defect. We also consider that the electron is influenced by the Hulth\'{e}n potential. In particular, we deal with the Schr\"{o}dinger equation in the presence of a global monopole. We obtain approximate solutions for the problem, determine the scattering phase shift and the $S$-matrix, and analyze bound states.
Comment: 14 pages, 7 figures, Accepted for publication in Universe
Databáze: arXiv